Double Inequalities
Double inequalities represent bounded regions on the number line. The double inequality a < x < b means all real numbers between a and b, where a is the smaller number and b is the larger number. All double inequalities are of the form a < x < b where one or both of the ‘‘<’’ signs might be replaced by ‘‘≤’’ Keep in mind, though, that ‘‘a < x < b’’ is the same as ‘‘b > x > a.’’ An inequality such as 10 < x < 5 is never true because no number x is both larger than 10 and smaller than 5. In other words an inequality in the form ‘‘larger number < x < smaller number’’ is meaningless.
The following table shows the number line
region and interval notation for each type of double inequality.
Examples
Practice
Give the
interval notation and shade the region on the number line for the double
inequality.
Solutions
“Sumber
Informasi”
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